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GATE 2018
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MECHANICAL ENGINEERING
Memory Based Qeustions and Answer(Morning)
Gopalpura Centre : S-52-53, Mahaveer Nagar,Behind Jaipur Hospital, Tonk Road, Jaipur - 18
100-102, Ram Nagar-B, Bambala Puliya, Toll Tax, Pratap Nagar, Jaipur - 302033
Pratapnagar Centre : Kukas Centre : 80-85, Sai Vatika, Near Sai Temple, Jaipur Delhi Highway, Kukas, Jaipur-202028 (Raj.)Tel # 723 999 0 999
(Graduate Aptitude Test in Engineering)GATE 2018
Corporate Office : 100-102, Ram Nagar, Bambala Puliya, Toll Tax, Pratap Nagar, Tonk Road, Jaipur-302033 (Rajasthan)S-52-53, Mahaveer Nagar, Behind Jaipur Hospital, Gopalpura, Tonk Road, Jaipur-302018 ( Rajasthan)Head Office :
National Helpline Number # 809 444 1 777www.engineersacademy.org • www.onlineengineersacademy.org • www.eapublications.org
Mechanical Engineering ME
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General Aptitude
Engg. Maths
Production Engg.
Thermal Engg.
Strength of Materials
FM&HM
Theory of Machines
Heat Transfer
IM&OR
Engg. Mechanics
Machine Design
Subject 2018Morning
ENGINEERS ACADEMY
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# 100-102, Ram Nagar, Bambala PuliyaPratap Nagar, Tonk Road, Jaipur-33
Ph.: +91-8094441777
ME : (Morning) GATE - 2018 | 31. The function of following graph is
1–1–2+2
+1–1
Sol. ||x| – 1| – 1
2. 1. Some roses are red
2. All red flower fade quickly
3. Some roses fade quickly
(a) Statement 1 is true and statement 2 is false then statement 3 is false.
(b) Statement 1 is true and statement 2 is false then statement 3 is true
(c) Statement 1 is true, statement 2 is true and statement 3 true
(d) Statement 1 is false, statement 2 is false and statement 3 is true.
Sol. (c)
3. Her ____________ should not be confused with miserliness because she is ever willing to assit thosein need.
Sol. Frugality
4. If by decreasing length of rectangle by 10 m and breath by 5m it becomes a square. The area lost fromrectangle is 650 m2. The area of original rectangle?
Sol. 2250
5. If a and b are integers and a + a2b3 is odd then
(a) a and b even (b) a and b odd
(c) a odd b even (d) a even b odd
Sol. (c)
6. 7 machines take 7 min to make 7 identical toys. At the same rate how many minutes would it take for100 machines to make 100 toys?
Sol. 7 minutes
ENGINEERS ACADEMY
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Ph.: +91-8094441777
ME : (Morning) GATE - 2018 | 57. A number consists of 2 digits, the sum of digits is 9. If 45 is subtracted from the number its digits are
interchange. What is the number?
(a) 55 (b) 60
(c) 85 (d) 72
Sol. (d)
8. For integers a, b, c, minimum and maximum of a + b + c
If log|a| + log|b| + log|c| = 0
(a) –2 and 2 (b) –1 and 1
(c) –3 and 3 (d) None of these
Sol. –3 and 3
9. From the time, the front of a train enters a platform it take 25 sec for back of the train to leave theplatform, if train is travelling at 54 km/hr. At the same speed it takes 14 sec to pass a man running at9 km/h in same direction of the train. Length of train and platform in m is?
(a) 175 and 250 (b) 200 and 275
(c) 175 and 200 (d) None of these
Sol. (c)
10. Going by the ______ that many hands make light work, the school ______ involved all the students inthe task.
Sol. Principle, Principal
11.
100 Mpa
500 Mpa
E = 200 GPa
Sol. Recovered strain
1 = 2 1–E
= 6
9400 10200 10
= 0.5 – 1
= 0.498
ENGINEERS ACADEMY
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ME : (Morning) GATE - 2018 | 712. A bar is compressed half to its original length. The value of true strain is
Sol. eT = ln (1 + ) = 1n 1 –2
l
= – 0.6931
13. In a fcc structure, how many atoms per unit cell and slip system is
Sol. (4, 12)
14. The value R is
V
0.5m
R
1 m
Sol. V = 290.5
0.5 = 210 gt
R = V * t
= 1g * 1mg
15. Find the breaking torque F = 100 N
300 mm
F200 mm
O
300 mm
µ = 0.3
R = 100 mm
fr
ENGINEERS ACADEMY
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ME : (Morning) GATE - 2018 | 9
N
frfr N
F
Sol. Balancing torque about 0 – 0
F × 3 = µN × 3 = N * 2
3F = (2 – 0.9)N
N = 3001.1
fr = µN
Torque T = fr × R
= –3300 0.3 100 101.1
= 8.181 N-m
16. Blanking operations
D/5
D/5
D/5 D/5
D
Find the percentage of scrap
Sol. Area w. p = 2D D BD3D
5 5
2
236D 7D 180. 5.04D25 5 5
ENGINEERS ACADEMY
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ME : (Morning) GATE - 2018 | 11
Blank Area = 23 D4
Strap area = 2 236 3D – D25 4
= 2.6838 D2
% strap = 52.25 %
17. Velocity of point Q = 20m–1
M = 2 kg
Radius of armature = 2 m
Find the normal force at Q
P
Q R = 2M*
Sol. F = 2mv 2 20 20
R 2
= 400 N
18.
50 MPa
100 MPa
y
If minimum principle stress is = 10 mPa
The y is
ENGINEERS ACADEMY
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ME : (Morning) GATE - 2018 | 12Sol.
x
RB
10
100 – X(A)
x = 10 = R
X = R + 10
R2 = (100 – x)2 + (50)2
R2 = (R + 10 – 100)2 + (50)2
R2 = R2 = (90)2 – 180R + (50)2
180R = (90)2 + (50)2
R = 58.88 Mpa
x = 68.88 MPa
(100 –x) = A
A = 100 – 68.88
A = 31.111
B = 100 – 2A
= 37.77 N
19. Enthalpy at the inlet of Nozzle is 2500 kH/kg and at the exit is 2350 kJ/kg. Maximum flow rate is 0.5kg/sec. And heat lost from the Nozzle at a rate of 25 kW. The velocity at exit is _______ (m–1)
Sol. 3250010
0.5 = 13 3
22500 2510 *10
V0.5
2
V = 316.227 m–1
ENGINEERS ACADEMY
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Ph.: +91-8094441777
ME : (Morning) GATE - 2018 | 1320. If a fair dice with 6 face is thrown 5 times, than the probability that “one” is obtained at least 4 times.
(in percentage)
Sol. P(x = 4) = 456 1 5* *
46 6 6
P (x = 5) = 51
6
0.334 %
21. 4 Red, 4 blue and 4 yellow ball are kep in a bag. If three ball are taken from the bag one bye one withoutreplacemnt. The probability that all balls are red is
Sol. P = 4 3 2 1
12 11 10 110